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Extension: GCF and LCM using prime factorizations

Adaptive
Worksheet

Interactive practice questions

Consider the following prime factorisations:

$180=2\cdot2\cdot3\cdot3\cdot5$180=2·2·3·3·5
$600=2\cdot2\cdot2\cdot3\cdot5\cdot5$600=2·2·2·3·5·5

Find the greatest common factor of $180$180 and $600$600.

Easy
1min

Consider the following prime factorisations:

$224=2\cdot2\cdot2\cdot2\cdot2\cdot7$224=2·2·2·2·2·7
$196=2\cdot2\cdot7\cdot7$196=2·2·7·7

Easy
1min

Consider the following prime factorisations:

$4900=2\cdot2\cdot5\cdot5\cdot7\cdot7$4900=2·2·5·5·7·7
$1750=2\cdot5\cdot5\cdot5\cdot7$1750=2·5·5·5·7

Medium
1min

Consider the following prime factorisations:

$140=2^2\cdot5\cdot7$140=22·5·7
$24500=2^2\cdot5^3\cdot7^2$24500=22·53·72

Easy
1min
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